Question

HelPPPNPLEASE ALGEBRA 2 !!!

Answer 1

13°. The value of theta using right triangle Trigonometry is 13°.

The reasons for the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are: sine (sin), cosine (cos) and tangent (tan). These are defined for the acute angle θ as follows:

Sin θ = opossite leg/hypotenuse

Cos θ = adjacent leg/hypotenuse

Tan θ = opossite leg/adjacent leg

The easiest way to solve this proble is using the reason sin θ = opossite leg/hypotenuse, where opossite leg = 11, and hypotenuse = 58.

sin θ = 11/48

θ = sin⁻¹ (11/48)

θ = 13.25°

Round to the nearest degree θ = 13°